Ray, William O. The fixed point property and unbounded sets in Hilbert space. (English) Zbl 0433.47026 Trans. Am. Math. Soc. 258, 531-537 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 29 Documents MSC: 47H10 Fixed-point theorems Keywords:nonexpansive mappings × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Felix E. Browder, Nonexpansive nonlinear operators in a Banach space, Proc. Nat. Acad. Sci. U.S.A. 54 (1965), 1041 – 1044. · Zbl 0128.35801 [2] K. Goebel and T. Kuczumow, A contribution to the theory of nonexpansive mappings, Bull. Calcutta Math. Soc. 70 (1978), no. 6, 355 – 357. · Zbl 0437.47040 [3] Dietrich Göhde, Zum Prinzip der kontraktiven Abbildung, Math. Nachr. 30 (1965), 251 – 258 (German). · Zbl 0127.08005 · doi:10.1002/mana.19650300312 [4] W. A. Kirk, A fixed point theorem for mappings which do not increase distances, Amer. Math. Monthly 72 (1965), 1004 – 1006. · Zbl 0141.32402 · doi:10.2307/2313345 [5] William O. Ray, Nonexpansive mappings on unbounded convex domains, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 26 (1978), no. 3, 241 – 245 (English, with Russian summary). · Zbl 0373.47034 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.